A Theoretical and Practical Arithmetic: In which the Principles of that Science are Clearly and Fully Explained; Being Intended as an Introduction to the Higher Branches of MathematicsS. Wood & sons, 1825 - 236 σελίδες |
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Σελίδα 42
... sought . This supposed , we perform the division of a number which has many figures , by a number which has but one , as follows . Write the divisor by the side of the dividend , separate the one from the other by a line , and draw a ...
... sought . This supposed , we perform the division of a number which has many figures , by a number which has but one , as follows . Write the divisor by the side of the dividend , separate the one from the other by a line , and draw a ...
Σελίδα 55
... sought is 85701 , which is within a unit .. 9 3 · 6 71. If in the commencement of the operation , after having - suppressed the figures on the right of the dividend as directed by the rule , the figures which remain do not contain the ...
... sought is 85701 , which is within a unit .. 9 3 · 6 71. If in the commencement of the operation , after having - suppressed the figures on the right of the dividend as directed by the rule , the figures which remain do not contain the ...
Σελίδα 57
... sought is therefore 1,5285 , which is true to with- in a ten - thousandth of a unit . If there were decimals in the dividend , or in the divisor , or in both , we should first transform them to whole numbers , according to what has been ...
... sought is therefore 1,5285 , which is true to with- in a ten - thousandth of a unit . If there were decimals in the dividend , or in the divisor , or in both , we should first transform them to whole numbers , according to what has been ...
Σελίδα 66
... sought . EXAMPLE . Suppose that we would find the least common multiple of the numbers 2,6,7,14 : I place the numbers as follows : 2 | 2,6,7,14 7 1,3,7 , 7 1,3,1 , 1 2X7X3 = 42 and having found that 2 will divide 2 , 6 , and 14 , I ...
... sought . EXAMPLE . Suppose that we would find the least common multiple of the numbers 2,6,7,14 : I place the numbers as follows : 2 | 2,6,7,14 7 1,3,7 , 7 1,3,1 , 1 2X7X3 = 42 and having found that 2 will divide 2 , 6 , and 14 , I ...
Σελίδα 108
... sought , and we write it by the side of the proposed number , separating it by a line . We subtract from that same period the square of the root found ; and , having written the remainder underneath this period , bring down on the right ...
... sought , and we write it by the side of the proposed number , separating it by a line . We subtract from that same period the square of the root found ; and , having written the remainder underneath this period , bring down on the right ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
adding answers antecedents arithmetical complement arithmetical means arithmetical progression arithmetical proportion borrow bushels called ciphers column comma commence composed compound numbers consequently contain the divisor cube root decimals denominator difference divide division example expressed extremes is equal feet four numbers four quantities fourth term fraction gallons geometrical means geometrical progression geometrical proportion given numbers gives greater greatest common divisor hundred hundredth inches kind last figure last term Lastly least common multiple manner method minus multi multiplicand nine number consisting number of tens operation partial dividend payments pence perform pounds preceding principal unit principle proposed logarithm proposed number question quotient ratio reduce remainder Rule of Three separate shillings signifies square root square yard subtract the product supposition suppress take the half tenths third thousand thousandths tion twice unit figure whole numbers
Δημοφιλή αποσπάσματα
Σελίδα 89 - ... 3 quarters, 1 ell Flemish, - - E. Fl 5 quarters, ------ 1 ell English, - - EE 6 quarters, ------ 1 ell French, - - E. Fr 27.
Σελίδα 2 - Congress of the United States, entitled "an act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the time therein mentioned." And also to an act entitled "an act supplementary to an act entitled an act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the times therein mentioned, and extending the benefits thereof to the...
Σελίδα 102 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Σελίδα 89 - TABLE. 60 seconds (") make 1 minute, '. 60 minutes " 1 degree, . . . °. 30 degrees
Σελίδα 87 - APOTHECARIES WEIGHT. 20 grains gr. make - - 1 scruple, 9 3 scruples - . - 1 drachm...
Σελίδα 89 - TABL.E. 60 seconds (s.) - make - 1 minute, marked m. 60 minutes ------ 1 hour, - - - - h. 24 hours -------1 day, - - - - d. 7 days ------- 1 week, - - - - w. 4 weeks ------ 1 month, - - - - mo 13 months, 1 day and 6 hours, ) 1 common, or > or 365 days and 6 hours, ) Julian year, j IT 37.
Σελίδα 229 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 197 - If the errors are alike, divide the difference of tire products by the difference of the errors, and the quotient will be the answer. 5. If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.
Σελίδα 155 - That is, the sum of the terms of an arithmetical progression is equal to half the sum of the two extremes multiplied by the number of terms.
Σελίδα 89 - ... gallons .... 1 barrel . . bar. 42 gallons .... 1 tierce . . tier. 63 gallons .... 1 hogshead . hhd. 84 gallons .... 1 puncheon . pun. 2 hogsheads ... 1 pipe, or butt.